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10893090 = 23513173153
BaseRepresentation
bin101001100011…
…011100100010
3202111102111210
4221203130202
510242034330
61025250550
7161406165
oct51433442
922442453
1010893090
11617015a
123793a56
132345220
141637adc
15e528b0
hexa63722

10893090 has 128 divisors (see below), whose sum is σ = 31352832. Its totient is φ = 2396160.

The previous prime is 10893083. The next prime is 10893097. The reversal of 10893090 is 9039801.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10893083) and next prime (10893097).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10893097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 205504 + ... + 205556.

It is an arithmetic number, because the mean of its divisors is an integer number (244944).

Almost surely, 210893090 is an apocalyptic number.

10893090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10893090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15676416).

10893090 is an abundant number, since it is smaller than the sum of its proper divisors (20459742).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10893090 is a wasteful number, since it uses less digits than its factorization.

10893090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124.

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 10893090 is about 3300.4681486116. The cubic root of 10893090 is about 221.6751600065.

The spelling of 10893090 in words is "ten million, eight hundred ninety-three thousand, ninety".

Divisors: 1 2 3 5 6 10 13 15 17 26 30 31 34 39 51 53 62 65 78 85 93 102 106 130 155 159 170 186 195 221 255 265 310 318 390 403 442 465 510 527 530 663 689 795 806 901 930 1054 1105 1209 1326 1378 1581 1590 1643 1802 2015 2067 2210 2418 2635 2703 3162 3286 3315 3445 4030 4134 4505 4929 5270 5406 6045 6630 6851 6890 7905 8215 9010 9858 10335 11713 12090 13515 13702 15810 16430 20553 20670 21359 23426 24645 27030 27931 34255 35139 41106 42718 49290 55862 58565 64077 68510 70278 83793 102765 106795 117130 128154 139655 167586 175695 205530 213590 279310 320385 351390 363103 418965 640770 726206 837930 1089309 1815515 2178618 3631030 5446545 10893090